An α2(Zα)5m correction to the Lamb shift from the radiative electron factor and Coulomb line polarization

Michael I. Eides; Howard Grotch

doi:10.1016/0370-2693(93)90733-X

An α²(Zα)⁵m correction to the Lamb shift from the radiative electron factor and Coulomb line polarization

Michael I. Eides, Howard Grotch

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

Abstract

A radiative correction of order α²(Zα)⁵m to the Lamb shift connected with a polarization insertion in one of the two external Coulomb lines is obtained. This correction arises from a gauge invariant set of diagrams which contain, besides the polarization insertion in the Coulomb leg, all one-loop radiative photon insertions in the electron line with two external Coulomb lines. A new contribution to the Lamb shift in an arbitrary hydrogen-like ion is equal to 0.611 [ α²(Zα)⁵ πn³]m for any S-level with the principal quantum number n. For hydrogen itself we obtain a correction 3.31 kHz for the 2S state and 26.5 kHz for the 1S state. The contribution for the 2S state is larger than the accuracy of contemporary experiments while the contribution for the 1S state is comparable with the experimental error.

Original language	English
Pages (from-to)	127-130
Number of pages	4
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	301
Issue number	1
DOIs	https://doi.org/10.1016/0370-2693(93)90733-X
State	Published - Feb 25 1993

Bibliographical note

Funding Information:
pleasure helpful discussions with S.G. Karshenboim and V.A. Shelyuto on the asymptotic behavior of the electron factor. He is deeply grateful to the Physics Department of Penn State University for kind hospitality. This work was supported by the National Science Foundation under grant number PHY-9120102.

Funding

pleasure helpful discussions with S.G. Karshenboim and V.A. Shelyuto on the asymptotic behavior of the electron factor. He is deeply grateful to the Physics Department of Penn State University for kind hospitality. This work was supported by the National Science Foundation under grant number PHY-9120102.

Funders	Funder number
National Science Foundation (NSF)	PHY-9120102

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1016/0370-2693(93)90733-X

Cite this

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title = "An α2(Zα)5m correction to the Lamb shift from the radiative electron factor and Coulomb line polarization",

abstract = "A radiative correction of order α2(Zα)5m to the Lamb shift connected with a polarization insertion in one of the two external Coulomb lines is obtained. This correction arises from a gauge invariant set of diagrams which contain, besides the polarization insertion in the Coulomb leg, all one-loop radiative photon insertions in the electron line with two external Coulomb lines. A new contribution to the Lamb shift in an arbitrary hydrogen-like ion is equal to 0.611 [ α2(Zα)5 πn3]m for any S-level with the principal quantum number n. For hydrogen itself we obtain a correction 3.31 kHz for the 2S state and 26.5 kHz for the 1S state. The contribution for the 2S state is larger than the accuracy of contemporary experiments while the contribution for the 1S state is comparable with the experimental error.",

author = "Eides, {Michael I.} and Howard Grotch",

note = "Funding Information: pleasure helpful discussions with S.G. Karshenboim and V.A. Shelyuto on the asymptotic behavior of the electron factor. He is deeply grateful to the Physics Department of Penn State University for kind hospitality. This work was supported by the National Science Foundation under grant number PHY-9120102.",

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AU - Eides, Michael I.

AU - Grotch, Howard

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N2 - A radiative correction of order α2(Zα)5m to the Lamb shift connected with a polarization insertion in one of the two external Coulomb lines is obtained. This correction arises from a gauge invariant set of diagrams which contain, besides the polarization insertion in the Coulomb leg, all one-loop radiative photon insertions in the electron line with two external Coulomb lines. A new contribution to the Lamb shift in an arbitrary hydrogen-like ion is equal to 0.611 [ α2(Zα)5 πn3]m for any S-level with the principal quantum number n. For hydrogen itself we obtain a correction 3.31 kHz for the 2S state and 26.5 kHz for the 1S state. The contribution for the 2S state is larger than the accuracy of contemporary experiments while the contribution for the 1S state is comparable with the experimental error.

AB - A radiative correction of order α2(Zα)5m to the Lamb shift connected with a polarization insertion in one of the two external Coulomb lines is obtained. This correction arises from a gauge invariant set of diagrams which contain, besides the polarization insertion in the Coulomb leg, all one-loop radiative photon insertions in the electron line with two external Coulomb lines. A new contribution to the Lamb shift in an arbitrary hydrogen-like ion is equal to 0.611 [ α2(Zα)5 πn3]m for any S-level with the principal quantum number n. For hydrogen itself we obtain a correction 3.31 kHz for the 2S state and 26.5 kHz for the 1S state. The contribution for the 2S state is larger than the accuracy of contemporary experiments while the contribution for the 1S state is comparable with the experimental error.

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